@Article{JCM-20-2,
author = {Gu, Chuan-Qing and Zhu, Gong-Qing},
title = {Bivariate Lagrange-Type Vector Valued Rational Interpolants},
journal = {Journal of Computational Mathematics},
year = {2002},
volume = {20},
number = {2},
pages = {207--216},
abstract = {<p style="text-align: justify;">An axiomatic definition to bivariate vector valued rational interpolation on distinct plane interpolation points is at first presented in this paper. A two-variable vector valued rational interpolation formula is explicitly constructed in the following form: the determinantal formulas for denominator scalar polynomials and for numerator vector polynomials, which possess Lagrange-type basic function expressions. A practical criterion of existence and uniqueness for interpolation is obtained. In contrast to the underlying method, the method of bivariate Thiele-type vector valued rational interpolation is reviewed.</p>},
issn = {1991-7139},
doi = {https://doi.org/2002-JCM-8911},
url = {https://global-sci.com/article/85400/bivariate-lagrange-type-vector-valued-rational-interpolants}
}